Zobrazeno 1 - 10
of 11
pro vyhledávání: '"Fumiyuki Momose"'
Publikováno v:
Number Theory Related to Modular Curves. :125-150
In this paper, we present algorithms for implementation of the GHS attack to Elliptic curve cryptosystems (ECC). In particular, we consider two large classes of elliptic curves over cubic extension fields of odd characteristics which have weak coveri
Autor:
Fumiyuki Momose, Keisuke Arai
Publikováno v:
Acta Arithmetica. 152:159-173
Autor:
Fumiyuki Momose, Keisuke Arai
Publikováno v:
Journal für die reine und angewandte Mathematik (Crelles Journal). 2014:203-205
This is an erratum to http://dx.doi.org/10.1515/crelle-2012-0068.
Autor:
Fumiyuki Momose, Mahoro Shimura
Publikováno v:
Nagoya Mathematical Journal. 165:159-178
Let K be a finite extension of (= the maximal unramified extension of Qp) of degree eK, its integer ring, p a rational prime and r a positive integer. If there exists a one parameter formal group defined over whose reduction is of height 2 with a cyc
Publikováno v:
International Journal of Mathematics. 10:1011-1036
Autor:
Fumiyuki Momose, Izumi Kuribayashi
Publikováno v:
Tsukuba J. Math. 11, no. 2 (1987), 287-301
Introduction Let G= be a cyclic group with w = #G>l. For each divisor d of n, let %d denote the character of G of the irreducible representation over Q, the field of rational numbers, whose kernel is equal to (,od). Let k be an algebraicallyclosed gr
Autor:
Fumiyuki Momose
Publikováno v:
Nagoya Math. J. 91 (1983), 19-36
For an integer N let X1(N) be the modular curve defined over Q which corresponds to the modular group Γ1(N) To each primitive cusp form f ═ Σ amqm, a1═1, (Γ normalized new form in the sense of [1]) on Γ1(N) of weight 2, there corresponds a fa
Autor:
Keisuke Arai, Fumiyuki Momose
Publikováno v:
Journal of Number Theory. (10):2272-2282
In this article, we prove that the Q -rational points on the modular curve X 0 + ( 37 M ) consist of cusps and CM points. We also generalize the result for a certain class of imaginary quadratic fields.
Autor:
M. A. Kenku, Fumiyuki Momose
Publikováno v:
Nagoya Math. J. 109 (1988), 125-149
Letkbe a quadratic field andEan elliptic curve defined overk. The authors [8, 12, 13] [23] discussed thek-rational points onEof prime power order. For a prime numberp, letn=n(k, p) be the least non negative integer such thatfor all elliptic curvesEde
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::844f63c8b17781a58ac95e69e3777698
http://projecteuclid.org/euclid.nmj/1118780896
http://projecteuclid.org/euclid.nmj/1118780896
Autor:
Fumiyuki Momose
Publikováno v:
J. Math. Soc. Japan 39, no. 2 (1987), 269-286
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::790c022d37a8e58816fe6aa655bea99d
http://projecteuclid.org/euclid.jmsj/1230130442
http://projecteuclid.org/euclid.jmsj/1230130442